Temperature measurement device, temperature measurement method, and computer-readable non-transitory medium

ABSTRACT

A temperature measurement device includes: a detector to detect first Stokes and anti-Stokes components when a light is input into a first end of an optical fiber and detect second Stokes and anti-Stokes components when a light is input into a second end; and a processor to execute a process including: calculating a first section from a first correlation between the second Stokes component and at least one of the first Stokes and the first anti-Stokes components, calculating a second section from a second correlation between the second anti-Stokes component and at least one of the first Stokes and the first anti-Stokes components, smoothing the second Stokes component in the first section, smoothing the second anti-Stokes component in the second section; and measuring a temperature by using the second Stokes and the second anti-Stokes components after smoothing, the first Stokes component and the second Stokes component.

CROSS-REFERENCE TO RELATED APPLICATIONS

This application is a continuation application of and claims priority to International Application No. PCT/JP2015/063837 filed on May 13, 2015 and designated the U.S., the entire contents of which are incorporated herein by reference.

FIELD

A certain aspect of the embodiments is related to a temperature measurement device, a temperature measurement method and a computer-readable non-transitory medium.

BACKGROUND

There is developed a technology in which a temperature of an optical fiber is measured with use of a back Raman scattering light from the optical fiber when a light is input into the optical fiber from a light source (for example, see Patent Documents 1 to 6).

PRIOR ART DOCUMENT Patent Document

-   Patent Document 1: Japanese Laid-open Patent Publication No.     2003-14554 -   Patent Document 2: Japanese Laid-open Patent Publication No.     2003-57126 -   Patent Document 3: Japanese Laid-open Patent Publication No.     S62-110160 -   Patent Document 4: Japanese Laid-open Patent Publication No.     H07-12655 -   Patent Document 5: Japanese Laid-open Patent Publication No.     H02-123304 -   Patent Document 6: Japanese Laid-open Patent Publication No.     2002-267242

SUMMARY

According to an aspect of the present invention, there is provided a temperature measurement device including: a detector configured to detect a first Stokes component and a first anti-Stokes component from a back scattering light generated when a light is input into a first end of an optical fiber and detect a second Stokes component and a second anti-Stokes component from a back scattering light generated when a light is input into a second end of the optical fiber; a memory; and a processor configured to execute a process, the process comprising: within a predetermined region including a sample point of a partial region on the first end side of the optical fiber, calculating a first section including the sample point on a basis of a first correlation between the second Stokes component and at least one of the first Stokes component and the first anti-Stokes component, calculating a second section including the sample point on a basis of a second correlation between the second anti-Stokes component and at least one of the first Stokes component and the first anti-Stokes component, smoothing the second Stokes component in the first section, and smoothing the second anti-Stokes component in the second section; and measuring a temperature at the sample point by using the second Stokes component after smoothing, the second anti-Stokes component after smoothing, the first Stokes component and the second Stokes component.

The object and advantages of the invention will be realized and attained by means of the elements and combinations particularly pointed out in the claims.

It is to be understood that both the foregoing general description and the following detailed description are exemplary and explanatory and are not restrictive of the invention, as claimed.

BRIEF DESCRIPTION OF DRAWINGS

FIG. 1A schematically illustrates an overall structure of a temperature measurement device in accordance with an embodiment;

FIG. 1B illustrates a block diagram of a hardware structure of a temperature measurement device;

FIG. 2 illustrates components of a back-scattering light;

FIG. 3A illustrates a relationship between an elapsed time after optical pulse emission by a laser and optical intensities of a Stokes component and an anti-Stokes component;

FIG. 3B illustrates a temperature calculated with use of a detection result of FIG. 3A and a formula (1);

FIG. 4 illustrates details of processes of a double end method;

FIG. 5 illustrates merits of a double end method;

FIG. 6 illustrates a response example of a case where a part of an optical fiber is dipped in hot water of approximately 55 degrees C. when a room temperature is approximately 24 degrees C.;

FIG. 7 illustrates results obtained from FIG. 6 and a formula (3);

FIG. 8 illustrates a typical example of an impulse response;

FIG. 9A to FIG. 9C illustrate a comparison between an output wave form that is estimated from an impulse response with respect to each dipped length and an output wave form that is actually obtained;

FIG. 10 illustrates a calculated values of output wave forms in a case where a center section to which a high temperature is not applied is provided between two high-temperature-applied sections of 20 cm, and a width of the center section is gradually changed;

FIG. 11 illustrates an example of temperature distribution measured by detecting a back Raman scattering light in a case where a pulse is input into one end;

FIG. 12 illustrates a calculated temperature obtained by averaging Stokes components and anti-Stokes components of two signals input from both ends of FIG. 11;

FIG. 13 quantitatively illustrates a measured temperature;

FIG. 14 illustrates an overlapped view of temperature distribution of a section that is extracted from FIG. 11, is on an L meter side of which noise is fewer and is dipped in hot water, and a terrace temperature range that is extracted from FIG. 12 and is near 200 meters;

FIG. 15 illustrates a power spectrum of two wave forms;

FIG. 16 illustrates a stokes component and an anti-stokes component;

FIG. 17 illustrates a Stokes component and an anti-Stokes component of a position dipped in hot water in a case where an optical pulse is input into a first end;

FIG. 18 illustrates a flowchart executed when a temperature measurement device measures a temperature;

FIG. 19 illustrates details of Step S2 and Step S3;

FIG. 20 illustrates a value of Pearson's product-moment correlation coefficient;

FIG. 21 illustrates another example of a flowchart executed when a temperature measurement device measures a temperature;

FIG. 22 illustrates another example of a flowchart executed when a temperature measurement device measures a temperature;

FIG. 23 illustrates another flowchart executed when a temperature measurement device measures a temperature;

FIG. 24 illustrates another example;

FIG. 25 illustrates another example;

FIG. 26A and FIG. 26B illustrate another example;

FIG. 27A and FIG. 27B illustrate another example;

FIG. 28 illustrates another example;

FIG. 29A to FIG. 29D illustrate calculated results;

FIG. 30 illustrates a relationship between a number of average element of one side of 01A and a number of average element of one side of 02A;

FIG. 31 illustrates a relationship between a number of average element of one side of 01A and a number of average element of one side of 02A;

FIG. 32 illustrates a temperature calculated result of a double end method;

FIG. 33 illustrates a temperature calculated result of a double end method;

FIG. 34 illustrates a quantitative comparison of temperature distribution before a process and temperature distribution after a process;

FIG. 35A to FIG. 35D illustrate calculated results;

FIG. 36 illustrates a relationship between a number of average element of one side of 01A and a number of average element of one side of 02A;

FIG. 37 illustrates a relationship between a number of average element of one side of 01A and a number of average element of one side of 02A;

FIG. 38 illustrates a temperature calculated result of a double end method;

FIG. 39 illustrates a temperature calculated result of a double end method;

FIG. 40 illustrates a quantitative comparison of temperature distribution before a process and temperature distribution after a process;

FIG. 41A to FIG. 41D illustrate calculated results;

FIG. 42 illustrates a temperature calculated result of a double end method;

FIG. 43 illustrates a temperature calculated result of a double end method; and

FIG. 44 illustrates a quantitative comparison of temperature distribution before a process and temperature distribution after a process.

DESCRIPTION OF EMBODIMENTS

The following is a description of embodiments, with reference to the accompanying drawings.

Embodiment

FIG. 1A schematically illustrates an overall structure of a temperature measurement device 100 in accordance with an embodiment. As illustrated in FIG. 1A, the temperature measurement device 100 has a measurement device 10, a controller 20 and so on. The temperature measurement device 100 is coupled with an optical fiber 30. The measurement device 10 has a laser 11, a beam splitter 12, an optical switch 13, a filter 14, a plurality of detectors 15 a and 15 b, and so on. The controller 20 has an indicator 21, a temperature measurer 22, a corrector 23 and so on.

FIG. 1B illustrates a block diagram of a hardware structure of the controller 20. As illustrated in FIG. 1B, the controller 20 has a CPU 101, a RAM 102, a memory device 103, an interface 104 and so on. The components are connected by a bus or the line. The CPU 101 (Central Processing Unit) is a central processing unit. The CPU 101 has one or more cores. The RAM (Random Access Memory) 102 is a volatile memory that temporarily stores a program executed by the CPU 101, a data processed by the CPU 101, and so on. The memory device 103 is a non-volatile storage device. The memory device 103 may be a ROM (Read Only Memory), a solid state drive (SSD) such as a flash memory, or a hard disk driven by a hard disk drive. When the CPU 101 executes a temperature measurement program stored in the memory device 103, the indicator 21, the temperature measurer 22, the corrector 23 and so on are established in the controller 20. The indicator 21, the temperature measurer 22 and the corrector 23 may be a hardware such as a dedicated circuit or the like.

The laser 11 is a light source such as a semiconductor laser. The laser 11 emits a laser light of a predetermined wavelength range in accordance with an instruction of the indicator 21. In the embodiment, the laser 11 emits an optical pulse (laser pulse) at a predetermined time interval. The beam splitter 12 inputs an optical pulse emitted by the laser 11 into the optical switch 13. The optical switch 13 switches destinations of the optical pulse. The optical switch 13 alternately inputs an optical pulse into a first end and into a second end of the optical fiber 30 at a predetermined cycle in accordance with an instruction of the indicator 21. In the embodiment, a length of the optical fiber 30 is L meter (m). A position of the first end is 0 meter (m). A position of the second end is L meter (m).

The optical pulse input into the optical fiber 30 propagates in the optical fiber 30. The optical pulse generates a forward-scattering light progressing toward a propagation direction and a back-scattering light progressing toward a return direction (returning light), gradually attenuates, and propagates in the optical fiber 30. The back-scattering light passes through the optical switch 13 and is input into the beam splitter 12 again. The back-scattering light input into the beam splitter 12 is emitted toward the filter 14. The filter 14 is a WDM coupler or the like, and extracts a long wavelength component (Stokes component described later) and a short wavelength component (anti-Stokes component) from the back-scattering light. The detectors 15 a and 15 b are a photo diode. The detector 15 a converts light intensity of the short wavelength component of the back-scattering light into an electrical signal and transmits the electrical signal to the temperature measurer 22 and the corrector 23. The detector 15 b converts light intensity of the long wavelength component of the back-scattering light into an electrical signal, and transmits the electrical signal into the temperature measurer 22 and the corrector 23. The corrector 23 corrects the anti-Stokes component. The temperature measurer 22 uses the Stokes component and the anti-Stokes component and measures a temperature.

FIG. 2 illustrates components of the back-scattering light. As illustrated in FIG. 2, the back-scattering light is roughly classified into three types. The three types of light are a Rayleigh scattering light used for an OTDR (Optical Time Domain Reflectometer), a Brillouin scattering light used for distortion measurement, and a Raman scattering light used for temperature measurement, in descending order according to optical intensity and in short-distance order with respect to the input optical wavelength. The Rama scattering light is generated by interference between a lattice oscillation and a light changing according to a temperature in the optical fiber 30. A short wavelength component called anti-Stokes component is generated by intensified interference. A long wavelength component called Stokes component is generated by weakened interference.

FIG. 3A illustrates a relationship between an elapsed time after optical pulse emission by the laser 11 and optical intensities of the Stokes component (long wavelength component) and the anti-Stokes component (short wavelength component). The elapsed time corresponds to a propagation distance of the optical fiber 30 (a position in the optical fiber 30). As illustrated in FIG. 3A, the optical intensities of the Stokes component and the anti-Stokes component are gradually reduced as time passes. This is because the optical pulse propagates in the optical fiber 30 and is gradually reduced with generation of the forward scattering light and the back-scattering light.

As illustrated in FIG. 3A, the optical intensity of the anti-Stokes component is stronger than that of the Stokes component at a position where a temperature of the optical fiber 30 is relatively higher. The optical intensity of the anti-Stokes component is weaker than that of the Stokes component at a position where the temperature is relatively lower. It is therefore possible to detect a temperature of each position of the optical fiber 30 when the detectors 15 a and 15 b detect the both components and a difference of characteristic of the both components is used. A region of a local maximum in FIG. 3A is a part of the optical fiber 30 that is intentionally heated by a drier or the like in FIG. 1A. A region of a local minimum is a part of the optical fiber 30 that is intentionally cooled by cold water or the like in FIG. 1A.

In the embodiment, the temperature measurer 22 measures a temperature with respect to each elapsed time from the Stokes component and the anti-Stokes component. Thus, it is possible to measure a temperature of each position of the optical fiber 30. The temperature measurer 22 measures the temperature of each position of the optical fiber 30 by calculating the temperature in accordance with the following formula (1). A light amount corresponds to an optical intensity. When a ratio of the two components is used, a difference between the two weak components is enhanced. And, a practical value can be obtained. A gain and an offset depend on a design of the optical fiber 30. Therefore, the gain and the offset are calibrated in advance. Temperature=gain/{offset−2×ln(an anti-Stokes light amount/a Stokes light amount)}  (1)

FIG. 3B illustrates a temperature calculated with use of a detection result of FIG. 3A and the above-mentioned formula (1). A horizontal axis of FIG. 3B is a position of the optical fiber 30 calculated on the basis of the elapsed time. As illustrated in FIG. 3B, when the Stokes component and the anti-Stokes component are detected, the temperature of each position of the optical fiber 30 can be measured. The laser 11 emits an optical pulse into the optical fiber 30 at a constant cycle. A spatial resolution increases as a pulse width of the optical pulse becomes narrower. On the other hand, the light amount becomes smaller (darker) as the pulse width gets narrower. It is necessary to enlarge a peak level of the pulse for that. The response is changed so that the gain in the above-mentioned formula becomes non-linear.

When an incident position to the optical fiber 30 from the optical switch 13 is fixed to one of the first end and the second end, the temperature measurement with use of the above-mentioned formula (1) can be achieved. When the incident position is alternately switched to the first end and the second end at a constant cycle as in the case of the embodiment, the anti-Stokes light amount and the Stokes light amount are averaged with respect to the position of the optical fiber 30 (calculation of an average). The switching method is called a loop type measurement, a double end measurement or a dual end measurement (hereinafter referred to as a double end method).

In the double end method, the above-mentioned formula (1) is changed into the following formula (2). That is, the anti-Stokes light amount and the Stokes light amount are averaged at each position of the optical fiber 30 with use of the above-mentioned formula (1). It is possible to set the offset and the gain by using an average or a larger value during a single end measurement or newly calibrating the offset and the gain. Temperature=gain/{offset−2×ln(average anti-Stokes light amount/average Stokes light amount)}  (2)

FIG. 4 illustrates details of processes of the double end method. “01S” indicates the Stokes component of a case where the optical pulse is input into the first end (0 to L). “01A” indicates the anti-Stokes component of the case where the optical pulse is input into the first end (0 to L). “02S” indicates the Stokes component of a case where the optical pulse is input into the second end (L to 0). “02S” indicates the anti-Stokes component of the case where the optical pulse is input into the second end (L to 0). “02S” and “02A” are obtained when “02S′” and “02A′” detected in the case where the optical pulse is input into the second end are reversed with respect to the elapsed time. By the reversing, it is possible to unify the position.

FIG. 5 illustrates merits of the double end method. When a path is excessively bent, a transmission loss occurs. And optical intensity sharply decreases at the bent point. When the optical intensity sharply decreases, the ratio of the Stokes component and the anti-Stokes component is changed. The temperature calculated by the above-mentioned formula (2) is generally shifted so as to decrease. With the one end method (hereinafter referred to as a single end method) that is not the double end method, when the pulse is transmitted from the first end (0 meter) to the second end (L meter), the output temperature with respect to the same applied temperature decreases on the second end side compared to the bend loss point. On the other hand, when the pulse is transmitted from the second end (L meter) to the first end (0 meter), the output temperature with respect to the same applied temperature decreases on the first end side compared to the bend loss point.

For example, it is possible to calibrate the temperature at the first end or the second end with use of a resistance temperature detector for the calibration or the like. With the single end method, a value offset may occur at a point away from the calibrated point. On the other hand, with the double end method, there are the following merits when values are averaged. (1) It is possible to cancel the sharp changing before and after the bend loss point. That is, the changing of the loss in the longitudinal direction is canceled. (2) Start edge temperatures of the single end method calibrated with the resistance temperature detector ought to be the same as those of the start edge temperatures of the double end method. It is therefore possible to re-calibrate a gain or an offset value so that the start edge temperatures of the single end method calibrated with the resistance temperature detector are the same as those of the start edge temperatures of the double end method.

Performance of optical fibers in circulation is improved. And there is no unevenness of a refractive index. However, transmission losses having a different value may occur because of bending, extending or connecting to a connector by laying to an object. It is therefore preferable that unique calibration values are given to sections after occurrence of each loss, in order to measure precise temperatures in the single end method. However, it is not necessary to be bothered whether a precise measurement is possible or not, although, in the double end method, it is not possible to compensate for the loss occurring during the measurement and the occurrence of the transmission loss influences on the usage length and is not preferable.

Next, a relationship between a section length of a temperature measurement object in the optical fiber and a measured temperature obtained from the Raman scattering light. FIG. 6 illustrates a response example of a case where a part of the optical fiber 30 is dipped in hot water of approximately 55 degrees C. when a room temperature is approximately 24 degrees C. When the length dipped in the hot water is elongated from 0.5 m to 10.5 m, a peak temperature becomes 55 degrees C. that is the same as that of the hot water in a case where the dipped length is 2 meters or more. It is therefore preferable that the section of the temperature measurement object is elongated in order to measure the precise temperature.

When a temperature obtained by subtracting a precise room temperature from a precise hot water temperature is applied to the optical fiber 30, a sensitivity of the measurement system can be expressed by the following formula (3). Sensitivity=(a peak temperature of a position dipped in the hot water−a room temperature measured with use of the optical fiber before and after the dipped position)/applied temperature×100(%)  (3) FIG. 7 illustrates results obtained from FIG. 6 and the above-mentioned formula (3). As illustrated in FIG. 7, a slight overshoot appears. This is because the impulse response of the system is not a Gausian type but the impulse response has a wave form having a minus component closer to sinc function and a high order peak. A minimum length of which sensitivity is 100% or is considered as 100% is called a minimum heated length.

From FIG. 6, the temperature in a case where a higher-temperature-applied section (section dipped in hot water) is provided in a constant temperature region may be considered as equivalent to a single square wave to which an impulse response is convolved. Thus, the impulse response of the system is determined. FIG. 8 illustrates a typical example of the calculated impulse response. In the temperature measurement of an optical fiber with use of a back Raman scattering light, as illustrated in FIG. 8, the impulse response may be considered as a wave form in which a window function is applied to a sinc function so that a distance away from a center is smoothly attenuated. The overshoot of the sensitivity curve of FIG. 7 occurs because of the impulse response wave form. When the impulse response is convoluted into applied temperature distribution along the longitudinal direction of the optical fiber 30, it is possible to achieve approximately precise output prediction.

FIG. 9A to FIG. 9C illustrate a comparison between the output wave form that is estimated from the impulse response with respect to each dipped length in the hot water and the output wave form that is actually obtained. As illustrated in FIG. 9A to FIG. 9C, the output wave form can be approximately precisely predicted. When the dipped length in the hot water is 3.25 m, a peaks is smoothed because convolutions of the impulse responses interfere with each other.

And so, FIG. 10 illustrates a calculated values of output wave forms in a case where a center section to which a high temperature is not applied is provided between two high-temperature-applied sections of 20 cm (that is, the center section is exposed to air without dipping in the hot water), and a width of the center section is gradually changed. A peak temperature is normalized into 1. And a reference temperature is normalized into 0. As illustrated in FIG. 10, it may be considered that there are two high-temperature-applied sections when a length of the center section is 1.2 meters to 1.4 meters. This is because interference caused by the enlargement of the impulse response wave form occurs as illustrated in FIG. 8. It is possible to consider that there are two high-temperature-applied sections when a distance between the two high-temperature-applied sections is a half-value width of the impulse response of FIG. 10 or more. It is preferable that the distance is equal to a half value of a zero order component width at which a gradient is reversed or more, in order to determine that the two sections are apparently spaced from each other. That is, from FIG. 10, the distance between the two high-temperature-applied sections is larger than a width of primary peaks and is approximately equal to the primary component width, when a minimum temperature of the center non-heated section is equal to the reference temperature, that is, the interference of the impulse response wave forms can be ignored in FIG. 10.

In order to determine that a temperature changed because of a function of a transfer function a currently focused position of the optical fiber, that is, a temperature is precisely output, it is preferable to focus on a temperature changing of a range of which a center position is the currently focused position and of which a width is equal to a zero order component width or more and a primary component width or less. The optical pulse propagates while gradually spreading and gradually attenuating because of influence such as a widening of a wavelength, an incident angle of view, scattering or the like. It is therefore preferable that the impulse response is measured or calculated at a center position when an optical fiber having a maximum usage length listed in specifications of the optical fiber 30 is connected. Alternatively, it is preferable that values of a near end, a center and a far end are averaged.

In order to measure the temperature with higher accuracy, it is preferable that a plurality of sections are determined so that ranges that are difference ranges between the convolution and the output data illustrated in FIG. 9A to FIG. 9C are not problems are considered as the same, the impulse response is measured or calculated at a center position of each section and is stored, and each impulse response stored with respect to each section is used. With passage of time, the impulse response wave form slightly changes because of degradation of the laser or the like. It is therefore preferable that, in a constant cycle, the impulse response is calibrated at the same position as an initially obtained position in order to measure the temperature with higher accuracy.

FIG. 11 illustrates an example of temperature distribution measured by detecting a back Raman scattering light in a case where the pulse is input into one end. In FIG. 11, a waveform in a case where the pulse is input into the first end (0 meter) illustrated in FIG. 1A and a waveform in a case where the pulse is input into the second end (L meter) illustrated in FIG. 1A are overlapped. When the pulse is input into the first end, variability of the measured temperature is small near the first end. The variability of the measured temperature becomes larger toward the second end. On the other hand, when the pulse is input into the second end, the variability of the measured temperature is small near the second end. The variability of the measured temperature becomes larger toward the first end. A connection position of a connector not cleaned sufficiently is 3000 m or around where the temperature changing is large. The position dipped in the hot water is 4900 m or around. In the example, a path is structured by rolling a plurality of bobbins around the optical fiber 30. Average temperatures of the plurality of bobbins are slightly different from each other. Therefore, a plurality of differences of level occur. In FIG. 11, the variability becomes larger and the measurement accuracy becomes worse when being away from the light source.

FIG. 12 illustrates a calculated temperature obtained by averaging the Stokes components and the anti-Stokes components of the two signals input from both ends of FIG. 11. By the averaging, the degradation of the measurement accuracy of the end points is suppressed, compared to FIG. 11. However, the measurement accuracy is lower than the preferable end point. FIG. 13 quantitatively illustrates the measured temperature. The measurement accuracy is a value of a standard deviation 3σ that is calculated with use of values of three points of 100 m of a terrace in which the temperature does not change. It is confirmed that an average (loop method) is an average value of a value of the case where the pulse is input into the 0 m and the value of the case where the pulses is input into L (m).

The temperature measurement using the detection of the back Raman scattering light of an optical fiber is used for detection of fire abnormality of a tunnel, a coal belt conveyor or the like. In the fire detection, accuracy of ±6 degrees C. is not a problem. However, when accuracy of ±1 degrees C. is needed, the accuracy is achieved by 36 (6/1)² times of the measurement time. For example, it takes 12 minutes for a device capable of achieving the measurement accuracy of FIG. 13 by 20 seconds to achieve the accuracy of ±1 degrees C. It takes 36 minutes for the device capable of achieving the measurement accuracy of FIG. 13 by one minute to achieve the accuracy of ±1 degrees C. The time does not correspond to a real time. Therefore, the usage is limited. It is preferable that the measurement accuracy is improved by post processes without expensive light sources, expensive filters, expensive circuits or the like, in order to use the measurement in a wider field.

A band pass filter that cuts off an unnecessary lower signal band, an unnecessary higher signal band (and an unnecessary middle band) or an adaptive filter that extracts an effective signal band on the basis of a designed noise model may be applied as post processes for noise reduction. FIG. 14 illustrates an overlapped view of temperature distribution of a section that is extracted from FIG. 11, is on the L meter side of which noise is fewer and is dipped in the hot water, and a terrace temperature range that is extracted from FIG. 12 and is near 200 meters. A fluctuation of the temperature of the terrace temperature range is caused by the noise.

In these data, both sides of a signal are attenuated in order to minimize an influence of aliasing at an FFT (Fast Fourier Transform). The wave form is non-linear because a sampling interval is approximately 50 cm. FIG. 15 illustrates a power spectrum of these two wave forms. As illustrated in FIG. 15, a band of a noise is overlapped with a band of a signal component. That is, a signal component attenuates with suppression of a noise in any filter processes. It is possible to preferably reduce the noise when the temperature of the hot water and the dipped length are known. However, a pattern of temperature distribution given to the optical fiber is not determined in advance. When the measurement of the double end method is performed in the temperature measurement by the detection of the back Raman scattering light, there is a problem that measurement accuracy of the end closer to the light source than near the center is degraded and a problem that a signal component itself attenuates even if a filter process is performed in order to suppress the measurement accuracy degradation.

FIG. 16 illustrates the Stokes component and the anti-Stokes component that are original signals for calculating the temperature distribution illustrated in FIG. 9A to FIG. 9C. FIG. 16 illustrates the Stokes component “01S” and the anti-Stokes component “01A” of the case where the optical pulse is input into the first end, and the Stokes component “02S” and the anti-Stokes component “02A” of the case where the optical pulse is input into the second end. As mentioned above, the temperature is calculated by the above-mentioned formula (1). The two light amounts in ln( ) are caused by a noise in the temperature.

On the basis of FIG. 16, noises of the Stokes component and the anti-Stokes component are small on the closer end side. The noise of the anti-Stokes component becomes specifically larger on the farer end side. That is, it is preferable that a method for reducing the noise of the anti-Stokes component at the farer end is focused in order to reduce the noise. And so, the embodiment uses the double end method and a relationship between a fluctuation of the Stokes component and a fluctuation of the anti-Stokes component.

FIG. 17 illustrates the Stokes component and the anti-Stokes component of the position dipped in the hot water in a case where an optical pulse is input into the first end (zero meter). As illustrated in FIG. 17, both signals indicate a changing at a position where a temperature changes, and attenuate with optical propagation at other positions. When a temperature changes, the Stokes component and the anti-Stokes component also change in synchronization with the temperature changing in the longitudinal direction. That is, when the synchronization range is specified, it is thought that a temperature of other ranges does not change with respect to another next position of the optical fiber on a light source side or only a temperature gradient smoothly changes.

And so, it is possible to focus on the minimum heated length described on the basis of FIG. 6 to FIG. 8. It may be considered that the temperature measurement by the detection of the back Raman scattering light indicates approximately the same minimum heated length response in a given section. When a part of the optical fiber of the minimum heated length is heated more than the region in which the temperature is kept constant, a wave form that is approximately the same as the impulse response of FIG. 6 is achieved. As mentioned above, it is preferable to focus on a range of which a width is equal to or more than a zero order component width at which a gradient is reversed and is equal to or less than a primary component width at which amplitude is approximately attenuated to zero, as a range (interference range) having an influence on circumferences.

FIG. 18 illustrates a flowchart executed when the temperature measurement device 100 measures a temperature. As an example, on the basis of measurement accuracy distribution in a longitudinal direction of the optical fiber 30 in the double end method before shipping or measurement accuracy distribution in a longitudinal direction of the optical fiber 30 in the double end method of a representative device, the optical fiber 30 is equally divided into a first section, a center section and a third section. In the first section, the measurement accuracy near 0 meter (first end) is low. The second section is a center section. In the third section, the measurement accuracy near L meters (second end) is low. The corrector 23 executes the flowchart of FIG. 18 with respect to the three sections.

First, the corrector 23 determines whether a currently focused section of the optical fiber is the first section that is equal to or less than ⅓ of a total length of the optical fiber 30 (Step S1). When it is determined as “Yes” in Step S1, the corrector 23 calculates a largeness of the correlation of a predetermined range (designated range) of which a width is equal to or more than a zero order component width of the response wave form of the minimum heated length and is equal to or less than a primary component width of the response wave form of the minimum heated length, with respect each sample point. The sample point is an object of which a temperature is to be measured, in the longitudinal direction of the optical fiber 30.

Next, the corrector 23 focuses on 02S and 02A as objects to be processes, focuses on 01S and 01A as targets, and calculate largeness of four correlations. For example, the corrector 23 selects the largeness α_02S of a smaller one of the correlation between 02S and 01S and the correlation between 02S and 01A (Step S2). Next, the corrector 23 selects the largeness α_02A of a smaller one of the correlation between 02A and 01S and the correlation between 02A and 01A (Step S3). FIG. 19 illustrates details of Step S2 and Step S3.

Next, the corrector 23 sets an average section so that the larger each correlation is, the smaller an average range of which a center position of is currently focused position is. For example, the corrector 23 calculates integers by rounding off 1/α_02A and 1/α_02S to the nearest whole numbers and determines each of the integer numbers of samples as one side of each average range (Step S4). Next, the corrector 23 averages 02SA and 02A in each average range that is determined with respect to each sample point. After that, the corrector 23 averages 01S and 02S at each sample point, uses the averaged value as the Stokes component, averages 02A and 01A at each sample point, uses the averaged value as the anti-Stokes component, and calculates a temperature (Step S5). 01S and 01A are the targets. Therefore, 01S and 01A are not converted.

When it is determined as “No” in Step S1, the corrector 23 determines whether a currently focused section of the optical fiber is the third section that is equal to or more than ⅔ of the total length of the optical fiber 30 (Step S6). In the third section, 02S corresponds to 01S, and 02A corresponds to 01A. And so, when it is determined as “Yes” in Step S6, the corrector 23 replaces 02S with 01S, replaces 01S with 02S, replaces 02A with 01A and replaces 01A with 02A. And the corrector 23 performs the same process as Step S2 to Step S4 (Step S7). Therefore, the corrector 23 selects the largeness α_01S of a smaller one of the two correlations calculated with respect to 01S and selects the largeness α_01A of a smaller one of the two correlations calculated with respect to 02A. The corrector 23 calculates integers by rounding off 1/α_01A and 1/α_01S to the nearest whole numbers and determines each of the integer numbers of samples as one side of each average range. Next, the corrector 23 averages 01S and 01A in each average range that is determined with respect to each sample point. After that, the corrector 23 averages 01S and 02S at each sample point, uses the averaged value as the Stokes component, averages 02A and 01A at each sample point, uses the averaged value as the anti-Stokes component, and calculates a temperature. 02S and 02A are the targets. Therefore, 02S and 02A are not converted. When it is determined as “No” in Step S6, the corrector 23 averages 01S and 02S at each sample point, uses the averaged value as the Stokes component, averages 02A and 01A, uses the averaged value at the anti-Stoked component, and calculates a temperature (Step S8). That is, in a section of ⅓ to ⅔, the normal double end method is used as a temperature calculation method and the averaging is not performed.

With the processes, values with little noise and high reliability are relatively weighed, and noise can be removed. Although smaller one of the values of Step S2 and Step S3 is used, larger one may be used. Alternatively, an average of the values of Step S2 and Step S3 may be used. When the smaller one is used, data except for a part considered as temperature changing is equalized. When the larger one is used, even slight changing data buried in a noise is not removed as possible.

There are many methods for determining the correlation. For example, it is possible to use Pearson's product-moment correlation coefficient. The Pearson's product-moment correlation coefficient of 02A and 01S is expressed by the following formula (4). Correlation coefficient α=(covariance of 02A of which a range is the same as that of 01S of a designated range)/(standard deviation of 01S of the same range)/(standard deviation of 02A of the same range)  (4)

The Pearson's product-moment correlation coefficient of which a center is a sample point k of the optical fiber 30 is α[k]. An array of 01S is 01S[k]. An array of 02A is 02A[k]. The number of the samples of the designated range is n. An average of 01S [c] of the designated range is 01Save. An average of 02A[k] of the designated range is 02Aave. The above-mentioned formula (4) can be expressed by the following formula (5).

$\begin{matrix} {{\alpha\lbrack k\rbrack} = \frac{n^{- 1}{\sum\limits_{k = 0}^{n}{\left( {{01\;{S\lbrack k\rbrack}} - {01\;{Save}}} \right)\left( {{02\;{A\lbrack k\rbrack}} - {02\;{Aave}}} \right)}}}{\sqrt{n^{- 1}{\sum\limits_{k = 0}^{n}\left( {{01\;{S\lbrack k\rbrack}} - {01\;{Save}}} \right)^{2}}}\sqrt{n^{- 1}{\sum\limits_{k = 0}^{n}\left( {{02\;{A\lbrack k\rbrack}} - {02\;{Aave}}} \right)^{2}}}}} & (5) \end{matrix}$

As another example, when a modified Spearman's rank correlation coefficient is used, the n numbers of 01S and 02A in the designated range (n in the above-mentioned formula (5)) are ranked and the Pearson's product-moment correlation coefficient is used for the ranking. When there are two or more of the same rank, a compensation formula is used. However, generally, there are few cases where there are two or more of the same rank, with respect to the Stokes component and the anti-Stokes component. Therefore, the previously appearing one may be treated as a higher rank.

For example, ±3.6 m is set in the section indicated by the impulse response of FIG. 6, as a range satisfying the above condition. FIG. 20 illustrates a comparison between the Pearson's product-moment correlation coefficient and the Spearman's rank correlation coefficient with respect to the data of FIG. 16. Generally, the Pearson's product-moment correlation coefficient of 1 or −1 indicates a complete correlation. The Pearson's product-moment correlation coefficient of 0.4 or more and less than 0.7 in an absolute value indicates a high correlation. The Pearson's product-moment correlation coefficient of 0.2 or more and less than 0.4 in an absolute value indicates a low correlation. The Pearson's product-moment correlation coefficient of less than 0.2 in an absolute value indicates no correlation. However, although an inclination of Spearman's is changed greatly than that of Person's, in the range of less than 0.2 indicating no correlation, an approximate ratio of 1:1 is achieved in the range of 0.3 or more indicating the low correlation and the same result is achieved with respect to FIG. 16. When normalized, another correlation coefficient may be generated. Of course, another correlation coefficient may be used.

In FIG. 18, a reciprocal number of the largeness of the correlation coefficient is an index of the average range. However, it is not always necessary to use the reciprocal number. The larger the correlation coefficient is, the narrower the average range relatively is. And, the smaller the correlation coefficient is, the wider the average range relatively is.

FIG. 21 illustrates another example of a flowchart executed when the corrector 23 corrects the temperature measured by the temperature measurer 22. As illustrated in FIG. 21, the corrector 23 executes Step S11 to Step S13 that are the same as Step S1 to Step S3 of FIG. 18. Next, the corrector 23 executes Step S14 to Step S18 with respect to the correlation largeness α_02S and the correlation largeness α_02A. A description will be given of details of Step S14 to Step S18. The correlation largeness α_02S and the correlation largeness α_02A are shortened to “α_”.

The corrector 23 determines whether the correlation largeness α_ is equal to or less than a first threshold (for example, 0.2 or less) (Step S14). When it is determined as “Yes” in Step S14, the temperature measurer 22 widens the average range of a currently focused sample point to an upper limit value (Step S15). For example, the upper limit value may be 6 samples as one side and may be 11 samples as a total number. When it is determined as “No” in Step S14, the corrector 23 determines whether the correlation coefficient α is equal to or more than a second threshold (for example, 0.55) that is larger than the first threshold of Step S14 (Step S16). When it is determined as “Yes” in Step S16, the corrector 23 determines the average range as “1” (Step S17). When it is determined as “No” in Step S16, the temperature measurer 22 calculates an integer by rounding off 1/α to the nearest whole numbers and determines the integer number of samples as one side of an average range (Step S18). After execution of Step S15, Step S17 or Step S18, Step S19 that is the same as Step S5 of FIG. 18 is executed. In the process, when the correlation coefficient is equal to or more than the second threshold, the averaging is not performed.

When it is determined as “No” in Step S11, Step S20 to Step S22 that are the same as Step S6 to Step S8 of FIG. 18 are executed. That is, when it is determined as “Yes” in Step S20, an average range is determined with use of the first threshold and the second threshold, with respect to the correlation largeness α_01S and the correlation largeness α_01A, and a temperature is calculated. When it is determined as “No” in Step S20, the temperature is calculated with use of the normal double end method.

FIG. 22 illustrates another flowchart executed when the corrector 23 corrects the temperature measured by the temperature measurer 22. A description will be given of a difference between FIG. 22 and FIG. 21. First, on the basis of the measurement accuracy distribution in the longitudinal direction of the optical fiber 30, the optical fiber 30 is equally divided into a first section near 0 meter (first end) of which measurement accuracy is low, a center third section, a fifth section near L meter (second end) of which measurement accuracy is low, a second section between the first section and the third section and a fourth section between the third section and the fifth section. The corrector 23 executes the flowchart of FIG. 22 with respect to the five sections.

The corrector 23 determines whether a currently focused section of the optical fiber 30 is the first section that is equal to or less than ⅕ of the total length of the optical fiber 30 (Step S31). When it is determined as “Yes” in Step S31, the corrector 23 executes Step S32 to Step S39 that are the same as Step S12 to Step S19.

When it is determined as “No” in Step S31, the corrector 23 determines whether the currently focused section of the optical fiber 30 is equal to or more than ⅘ of the total length of the optical fiber 30 (Step S40). When it is determined as “Yes” in Step S40, the same processes as Step S32 to Step S39 are executed after replacing 02S with 01S, 01S with 02S, 02A with 01A and 01A with 02A (Step S41). However, other values may be used as the thresholds with respect to the correlation coefficient and the upper limit value of the average range.

When it is determined as “No” in Step S40, the corrector 23 determines whether the currently focused section is equal to or less than ⅖ of the total length of the optical fiber 30 or equal to or more than ⅗ of the total length of the optical fiber 30 (Step S42). When it is determined as “Yes” in Step S42 and the currently focused section is equal to or less than ⅖ of the total length of the optical fiber 30, the same processes as Step S32 to Step S39 are executed. However, a threshold with respect to the correlation coefficient and an upper limit value of an average range are different from those of Step S32 to Step S39, or may be different from those of Step S32 to Step S39. When it is determined as “Yes” in Step S42 and the currently focused section is equal to or more than ⅗ of the total length of the optical fiber 30, the same process as Step S41 is executed. However, a threshold with respect to the correlation coefficient and an upper limit of an average range are different from those of Step S41, or may be different from those of Step S41. It is therefore possible to perform correction with respect to the minimum heated length that changes in accordance with the section. When it is determined as “No” in Step S42, Step S44 that is the same as Step S22 is executed.

In FIG. 18, FIG. 21 and FIG. 22, the average range is equal to or less than the primary component width of the minimum heated length. This is because the probability that the crosstalk adjacent to another signal influences on the averaged signal becomes higher when the average range exceeds the primary component width of the minimum heated length. For example, when the obtained correlation coefficient is −1, it is determined that a complete correlation occurs. However, in the embodiment, the correlation is treated as a noise. The reason is as follows. When the temperature increases, the Stokes and the anti-Stokes have a convex shape toward upper side. When the temperature decreases, the Stokes and the anti-Stokes have a convex shape toward lower side. In this case, the anti-Stokes component never has the shape in which the Stokes component is reversed up and down. Only when a noise occurs or connectors of poor connection are fused or connected to each other or fibers of which a refractive index difference is large are fused or connected to each other, the anti-Stokes component may have the shape in which the Stokes component is reversed up and down.

In FIG. 18, FIG. 21 and FIG. 22, the optical fiber is divided into three sections or five sections. However, the optical fiber may be divided at a center into two sections, or four sections obtained by dividing the two sections or eight sections obtained by dividing the four sections. In these cases, only the center section of which the temperature is calculated without processing 01S, 01A, 02S and 02A is removed.

In the embodiment, the double end method is used. When the optical pulse is input into the second end, 02S is averaged in an average range according to at least one of the correlation coefficient of 02S and 01S and the correlation coefficient of 02S and 01A in a predetermined range including a sample point of a partial range on the first end side. In this case, a noise of 02S is reduced. Moreover, 02A is averaged in an average range according to at least one of the correlation coefficient of 02A and 01S and the correlation coefficient of 02A and 01A. In this case, a noise of 02A is reduced. When the averaged 02S and the averaged 02A are used, it is possible to correct the measured temperature. When the optical pulse is input into the first end, 01S is averaged in an average range according to at least one of the correlation coefficient of 01S and 02S and the correlation coefficient of 01S and 02A in a predetermined range including a sample point of a partial range on the second end side. In this case, a noise of 01S is reduced. Moreover, 01A is averaged in an average range according to at least one of the correlation coefficient of 01A and 02S and the correlation coefficient of 01A and 02A. In this case, a noise of 01A is reduced. When the averaged 01S and the averaged 01A are used, it is possible to correct the measured temperature. When 02A is averaged, it is preferable that 01S and 01A are components just before 02A with respect to switching of the optical switch 13. However, 01S and 01A may be not only the components just before 02A but also components before 02A. Alternatively, 01S and 01A may be components after 02A. When 01A is averaged, it is preferable that 02S and 02A are components just before 01A with respect to switching of the optical switch 13. However, 02S and 02A may be not only the components just before 01A but also components before 01A. Alternatively, 02S and 02A may be components after 01A.

In the embodiment, an average of the Stokes component and the anti-Stokes component is calculated in the average range. However, the average may not be necessarily calculated when variability of data in the average range is suppressed. And so, another average such as an arithmetic mean considering w weight, a geometric mean or a harmonic mean may be used. An arithmetic mean considering a weight may be used when the average of 01S and 02S and the average of 01A and 02A are calculated.

The above-mentioned averaging may be performed after the Stokes component and the anti-Stokes component are smoothed in a smoothing range according to the correlation largeness between the Stokes component and the anti-Stokes component in a predetermined range including a predetermined sample point. In this case, it is possible to correct the measured temperature. For example, when the correlation is small, a noise becomes larger. It is therefore preferable that the both components are smoothed. In this case, it is possible to reduce the noise. It is preferable that the smaller the correlation is, the longer the smoothing range is elongated. In this case, the noise is reduced more. It is preferable that an upper limit of the smoothing range is determined. In this case, redundancy of the smoothing range is suppressed. And, degradation of the temperature measurement accuracy is suppressed. When the correlation is small, the temperature changing is small around the sample point. Therefore, even if the smoothing is performed, the degradation of the measured temperature accuracy is suppressed. On the other hand, when the correlation is large, the smoothing range is shortened. Alternatively, the correction is not performed. When the correlation is large, the temperature changing is large around the sample point. Therefore, influence of the noise is small. It is therefore possible to maintain the accuracy of the measured temperature. However, when the correlation coefficient between the anti-Strokes components is high in the processes of FIG. 18, FIG. 21 and FIG. 22, it is preferable that the smoothing is not performed. This is because the anti-Stokes component is small, and detection of the anti-Stokes component becomes difficult because of the smoothing. The process is explained on the basis of FIG. 23.

FIG. 23 illustrates another example of a flowchart executed when the temperature measurement device 100 measures a temperature. The corrector 23 determines whether the correlation coefficient between 01A and 02A is equal to or less than a threshold in Step S3 of FIG. 18 (S51). When it is determined as “No” in Step S51, the correlation between 01A and 02A is high. Therefore, the flowchart is terminated. Thus, smoothing of the anti-Stokes component is not performed. And, the accuracy of FIG. 18, FIG. 21 and FIG. 22 is maintained.

When it is determined as “Yes” in Step S51, the corrector 23 calculates the largeness α between the Stokes component and the anti-Stokes component in a predetermined range (designated range) including a sample point and having a width that is equal to or more than a width of a zero order component of the minimum heated length response waveform and equal to or less than a width of a primary component of the minimum heated length response waveform, with respect to each sample point (Step S52). The sample points are all object points of which a temperature is to be measured, in the longitudinal direction of the optical fiber 30.

Next, the corrector 23 determines whether the correlation coefficient α is equal to or less than a threshold (for example, 0.2 or less) (Step S53). When it is determined as “Yes” in Step S53, the corrector 23 widens a smoothing range of a currently focused sample point to an upper limit (Step S54). The upper limit may be 11 samples of which one side may be 6 samples with respect to the sample point. When it is determined as “No” in Step S53, the corrector 23 calculates an integer by rounding off 1/α to the nearest whole number and determines the number of the samples of one side of the smoothing range to the calculated integer (Step S55). After execution of Step S54 or Step S55, the corrector 23 smoothes the Stokes component and the anti-Stokes component respectively in the determined smoothing range (Step S56). In concrete, both 01A and 01S are smoothed in the smoothing range determined according to the correlation coefficient largeness of 01A and 01S. Both 02A and 02S are smoothed in the smoothing range determined according to the correlation coefficient largeness of 02A and 02S. When the correlation coefficient α is 1 or close to 1, the smoothing range is 1 and the smoothing is not performed. The averaging process of FIG. 23 may not necessarily be performed when the correlation coefficient of the anti-Stokes components of other regions of FIG. 18, FIG. 21 and FIG. 22 is equal to or less than a threshold.

Other Examples

The temperature measurement device 100 may be applied to various objects of which a temperature is to be measured. For example, as illustrated in FIG. 24, it is thought that an optical fiber is provided on a branch pipe of a pipe for transporting a raw material of a high temperature and a high pressure. A racking material and an outer metal board keeps a temperature of the pipe of the high temperature and the high pressure and protects the pipe. Even if a leak occurs because of corrosion of a joint of the pipe, there are many cases where the leak is not detected unless an emergency causing a fire accident occurs. And so, it is possible to precisely detect occurrence of leak at the joint early even if an outer temperature, an internal temperature or an internal pressure fluctuates, when an optical fiber is rolled around the joint and correlation relationships between changings of temperatures of positions of the optical fiber. As a method for comparing the correlations of the temperatures of positions of the optical fiber, there is a method for examining an outlier by generating a variance-covariance matrix having elements including a temperature of each position of the optical fiber and using a Mahalanobis distance or an MSD method.

FIG. 25 illustrates a single optical fiber applied to a method for measuring a temperature of a passed air with use of many rolling parts structured by the optical fiber. Each rolling part is rolled a few times around each fixed position with approximately the same diameter and is coupled with another next rolling part. It is possible to detect whether a wind passes through a sheet or a frame on which the optical fiber is provided and detect temperature distribution of the wind, when the measurement device 10 and the controller 20 in accordance with the above-mentioned embodiment are used, an average temperature of the rolling parts is calculated, and a gradation including representative temperatures of center coordinates of the rolling parts is generated. As the rolling number of each rolling part increases, the number of measurement points to be averaged increases, and a superficial measurement accuracy improved. Therefore, desirable measurement accuracy is achieved with a measurement of a short period. When the length of the optical fiber is shortened, an attenuation amount of the optical pulse is reduced. Therefore, the measurement accuracy is improved. In or der to achieve desirable measurement accuracy with a shorter period, it is demanded that a temperature data itself is output with high accuracy. When the above-mentioned embodiment is applied, the demand is satisfied.

FIG. 26A and FIG. 26B illustrate an example in which fiber nets are provided on a surface of a melting furnace. In the fiber net, many rolling parts with use of a heat-resistant fiber are coupled. Each fiber net is coupled to each other. An entrance end of a distal fiber net and an exit end of another distal fiber net are coupled to the measurement device 10 and the controller 20. Thus, a measurement device of the double end method is structured. It is possible to visualize a superficial temperature condition of the melting furnace, when the relationship between the positions of the nets 1 to 3 and the temperature distribution is shown in two-dimensional gradations of FIG. 26B and the generated two-dimensional gradations are fitted on positions corresponding to directions of the nets with respect to a reference direction of the melting furnace. It is possible to measure the temperature with high accuracy when an unexpected temperature change abnormality is monitored with use of a threshold and when a precursory phenomenon of abnormality is analyzed from changing of the Mahalanobis distance or changing of a value calculated by the MSD method with use of a time course of the relative relationship between the temperature changings of the rolling parts of the nets, as well as the example of FIG. 24.

FIG. 27A and FIG. 27B illustrate an optical fiber applied to a system for performing an air-conditioning management with use of the optical fiber provided in a straight line on an upper position of a server rack in a data center. In a data center providing a housing service mainly, it may be forbidden to provide an optical fiber in a server rack. And so, as illustrated in FIG. 27A and FIG. 27B, the optical fiber is provided in a straight line on an upper part of an intake face of the server rack or the optical fiber is provided on an exhaust face side in a meandering shape. And, a temperature of a rack is measured by some methods in advance. An alarm threshold is set with respect to each length of the optical fiber corresponding to an upper part of each rack, by associating an allowable temperature degree detected from the optical fiber. Generally, a length of a server rack is 60 cm or 70 cm. When a sampling interval of data is 50 cm, the number of measurement point is one or two. Therefore, measurement accuracy of a measurement level of the double end method is desired. Therefore, it is possible to measure a temperature with high accuracy by applying the above-mentioned embodiment. It is possible to perform a control that an allowable degree is increased by energizing an air-conditioner when a temperature exceeds or is going to exceed a threshold. Accordingly, both energy saving and safety are achieved.

FIG. 28 illustrates an example of a cultivation and a theft prevention of an expensive fruit or the like in a vinyl house. In the example of FIG. 28, crown melons are cultivated. An optical fiber for measuring an underground temperature, a circumstance temperature, a fruit temperature and so on is provided. Moreover, an optical fiber for a humidity management using the same principle as a psychrometer. In this case, it is possible to measure a temperature and humidity with use of a Raman scattering. When a thief pulls a melon for steeling the melon, an underground part of an optical fiber is pulled out and the temperature is sharply changes. It is therefore possible to report an alarm to an owner. In order to measure the sharp temperature changing precisely, it is preferable that measurement accuracy of a system is preferable. Similarly, it is preferable that measurement accuracy of the system is preferable, when a time course of each temperature is managed in detail, an integrated value is managed, and the owner cultivate the melons with a preferable condition. When the above-mentioned embodiment is used, these demands are solved.

Example 1

In accordance with the above-mentioned embodiment, a description will be given of a concrete example. The process of FIG. 21 was performed with respect to FIG. 11 to FIG. 17. However, the optical fiber is not divided into three sections. The optical fiber is divided at a center and into two sections. There is no case where the Stokes component and the anti-Stokes component are averaged without processing. The second threshold with respect to α_ was 0.6. FIG. 29A to FIG. 29D illustrates results.

FIG. 29A to FIG. 29D illustrate results. FIG. 29A illustrates a comparison of 01S and 01A before the process and 01S and 01A after the process. As illustrated in FIG. 29A, before the process, there was variability on the distant end side. However, the variability was suppressed after the process. FIG. 29B illustrates an enlarged view of a region dipped in hot water. As illustrated in FIG. 29B, specifically, the variability of the anti-Stokes component before the process is greatly suppressed after the process. FIG. 29C illustrates a comparison of 02S and 02A before the process and 02S and 02A after the process. As illustrated in FIG. 29C, before the process, there was variability near the distant end of 0 (m). However, the variability was suppressed after the process. FIG. 29D illustrates an enlarged view of a region dipped in hot water. FIG. 29D is slightly improved, compared to FIG. 29B. However, FIG. 29D is closer to a case without the process. This is because a noise component is small at a near end.

FIG. 30 and FIG. 31 illustrate a relationship between the number of average element of one side that is determined on the basis of the processes of FIG. 21. FIG. 31 illustrates a partially enlarged view of FIG. 30. On the basis of the number of average element, the Stokes component and the anti-Stokes component at the currently focused point are averaged. However, being different from FIG. 21, the example sets the upper limit value (including the currently focused position) is 5. Therefore, the maximum of the number of average element is 9.

If FIG. 31 is compared with FIG. 29A to FIG. 29D, the correlation coefficient gets closer to 1 that is the maximum value and the number of average element is 1 that is the minimum value, when the temperature changes and both of the Stokes component and the anti-Stokes component change. FIG. 32 and FIG. 33 illustrate calculated temperature of the double end method from FIG. 29A to FIG. 29D, FIG. 30 and FIG. 31. In the calculation, the above-mentioned formula (2) was used. When FIG. 32 and FIG. 33 that is enlarged view of the region dipped in the hot water are focused, the temperature changing is not lost and noise components are suppressed.

The temperatures of FIG. 32 and FIG. 33 were calculated with use of the above-mentioned formula (2). The number of average element is 1 at a position of which the correlation coefficient is 1. Therefore, the temperature before the process is the same as that after the process. It is necessary that the gain and the offset used after the process are the same as those before the process. Therefore, the temperature after the process is expressed by the following formula (6). Temperature after the process=gain/{offset−2×ln(average of light amount of anti-Stokes after process/average of light amount of Stokes after process)}  (6)

FIG. 34 illustrates a quantitative comparison of temperature distribution before the process and temperature distribution after the process. There is little changing before and after the process at a temperature changing position in any cases. Therefore, standard deviation values 3σ at terrace portions are compared. As illustrated in FIG. 34, noise suppression of 29% to 76% is achieved. The noise suppression of 29% is achieved, when the measurement accuracy is ±2 degrees C. or less. The noise suppression of 70% or more is achieved, when the measurement accuracy is ±5 degrees C. or less. When the measurement time is compared, the measurement accuracy becomes 1/4.3 in the case where the noise suppression of 76% is achieved. Therefore, with respect to the same measurement accuracy, the measurement time of 18 before the process is compressed to 1 after the process. During the measurement by the double end method of FIG. 11, the measurement accuracy at 100 meters to 200 meters and 5600 meters to 5700 meters is three times as that at a position of 2800 meters to 2900 meters. However, with the process of the above-mentioned embodiment, noise is approximately equally suppressed.

Example 2

A description will be given of a concrete example of temperature distribution with respect to an object to be measured and a measurement cycle that are different from those of the example 1. An applied process method is approximately the same as that of the example 1. However, the optical fiber 30 was divided into the first section to the third section. A width ratio was 4:2:4. The second threshold regarding α_ was 0.6. FIG. 35A to FIG. 35D illustrate results.

FIG. 35A to FIG. 35D illustrate a comparison of 01S and 01A before the process and 01S and 01A after the process. As illustrated in FIG. 35A, before the process, there was variability on the distant end side. However, the variability was suppressed after the process. FIG. 35B illustrates an enlarged view of a heated region. As illustrated in FIG. 35B, specifically, the variability of the anti-Stokes component before the process was greatly suppressed after the process. FIG. 35C illustrates a comparison of 02S and 02A before the process and 02S and 02A after the process. As illustrated in FIG. 35C, before the process, there was variability near the distant end of 0 (m). However, the variability was suppressed after the process. FIG. 35D illustrates an enlarged view of a region dipped in hot water. FIG. 35D is slightly improved, compared to FIG. 35B. However, FIG. 35D is closer to a case without the process. This is because a noise component is small at a near end.

FIG. 36 and FIG. 37 illustrate a relationship between the number of average element of one side that is determined on the basis of the flowchart of FIG. 21. On the basis of the number of average element, the Stokes component and the anti-Stokes component at the currently focused point are averaged. However, being different from FIG. 21, the example sets the upper limit value (including the currently focused position) is 5. Therefore, the maximum of the number of average element is 9.

If FIG. 37 is compared with FIG. 35A to FIG. 35D, the correlation coefficient gets closer to 1 and the number of average element is 1, when the temperature changed and both of the Stoked component and the anti-Stokes component change.

FIG. 38 and FIG. 39 illustrate calculated temperatures of the double end method from FIG. 35A to FIG. 35D, FIG. 36 and FIG. 37. When FIG. 38 and FIG. 39 that is enlarged view of the part dipped in the hot water are focused, the temperature changing is not lost and noise components are suppressed. FIG. 40 illustrates a quantitative comparison between temperature distribution before the process and temperature distribution after the process. At a position of temperature changing, there is little change before and after the process in any cases. Therefore, standard deviation values 3σ at a terrace portion are compared with each other. As illustrated in FIG. 40, the noise suppression of 64% to 76% is achieved. It is thought that a large suppression is achieved because the optical fiber is divided into three sections. With respect to ratios, 300 m to 400 m and 5830 m to 5920 m are not largely improved, compared to 2800 m to 2900 m. However, it is possible to say large improvement of 10 degrees or around is achieved, from a quantitative viewpoint.

Example 3

In an example 3, 01S, 01A, 02S and 02A that are subjected to the process of FIG. 23 in advance are subjected to the process of the example 1. The process performed in advance is referred to as a first process. The process of the example 1 is referred to as a second process. FIG. 41A to FIG. 41D correspond to FIG. 29A to FIG. 29D. When the first process and the second process are performed, the variability is suppressed more without reducing the signal component. That is, large effect of reducing the noise is achieved. FIG. 42 and FIG. 43 correspond to FIG. 32 and FIG. 33. In the temperature distribution, a temperature changing component is not suppressed, and reduction of a large noise is achieved. FIG. 44 corresponds to FIG. 34. The temperature distribution before the first process and the second process is quantitatively compared with the temperature distribution after the first process and the second process. Compared with FIG. 34, the noise suppression effect is 76% in a range of 100 m to 200 m and is 74% in a range of 5600 m to 5700 in a case where only the second process is performed. The values respectively increase to 83% and 81%. As a result, the measurement accuracy is ±1 to ±1.1 degrees C. Therefore, there are no differences in any sections.

All examples and conditional language recited herein are intended for pedagogical purposes to aid the reader in understanding the invention and the concepts contributed by the inventor to furthering the art, and are to be construed as being without limitation to such specifically recited examples and conditions, nor does the organization of such examples in the specification relate to a showing of the superiority and inferiority of the invention. Although the embodiments of the present invention have been described in detail, it should be understood that the various change, substitutions, and alterations could be made hereto without departing from the spirit and scope of the invention. 

What is claimed is:
 1. A temperature measurement device comprising: a detector configured to detect a first Stokes component and a first anti-Stokes component from a back scattering light generated when a light is input into a first end of an optical fiber and detect a second Stokes component and a second anti-Stokes component from a back scattering light generated when a light is input into a second end of the optical fiber; a memory; and a processor configured to execute a process, the process comprising: within a predetermined region including a sample point of a partial region on the first end side of the optical fiber, calculating a first section including the sample point on a basis of a first correlation between the second Stokes component and at least one of the first Stokes component and the first anti-Stokes component, calculating a second section including the sample point on a basis of a second correlation between the second anti-Stokes component and at least one of the first Stokes component and the first anti-Stokes component, smoothing the second Stokes component in the first section, and smoothing the second anti-Stokes component in the second section; and measuring a temperature at the sample point by using the second Stokes component after smoothing, the second anti-Stokes component after smoothing, the first Stokes component and the first anti-Stokes component.
 2. The temperature measurement device as claimed in claim 1 further comprising: an optical switch configured to alternately input a light from a light source to the first end and the second end, wherein the first section and the second section are calculated by using the first Stokes component and the first anti-Stokes component of a case where the light is input into the first end from the optical switch and using the second Stokes component and the second anti-Stokes component of a case where the light is input into the second end from the optical switch next time.
 3. The temperature measurement device as claimed in claim 1, wherein the first section is elongated as the first correlation becomes smaller and the second section is elongated as the second correlation becomes smaller.
 4. The temperature measurement device as claimed in claim 3, wherein an upper limit is set in the first section and the second section.
 5. The temperature measurement device as claimed in claim 1, wherein the second Stokes component is not smoothed when the first correlation is equal to or more than a threshold, and the second anti-Stokes component is not smoothed when the second correlation is equal to or more than another threshold.
 6. The temperature measurement device as claimed in claim 1, wherein a Pearson's product-moment correlation coefficient is used as the first correlation and the second correlation.
 7. The temperature measurement device as claimed in claim 1, wherein a Spearman's rank correlation coefficient is used as the first correlation and the second correlation.
 8. The temperature measurement device as claimed in claim 1, wherein: a partial region of the optical fiber around the sample point has a constant temperature; the predetermined region is larger than a half value width of temperature distribution obtained when another constant temperature different from the constant temperature is given to a minimum heated length section of which a center is the sample point; and the predetermined region is smaller than a primary component width of the temperature distribution.
 9. A temperature measurement method comprising: with a detector, detecting a first Stokes component and a first anti-Stokes component from a back scattering light generated when a light is input into a first end of an optical fiber and detecting a second Stokes component and a second anti-Stokes component from a back scattering light generated when a light is input into a second end of the optical fiber; within a predetermined region including a sample point of a partial region on the first end side of the optical fiber, calculating a first section including the sample point on a basis of a first correlation between the second Stokes component and at least one of the first Stokes component and the first anti-Stokes component, calculating a second section including the sample point on a basis of a second correlation between the second anti-Stokes component and at least one of the first Stokes component and the first anti-Stokes component, smoothing the second Stokes component in the first section, and smoothing the second anti-Stokes component in the second section; and measuring a temperature at the sample point by using the second Stokes component smoothed by the corrector, the second anti-Stokes component smoothed by the corrector, the first Stokes component and the first anti-Stokes component.
 10. The temperature measurement method as claimed in claim 9, wherein the first section and the second section are calculated by using the first Stokes component and the first anti-Stokes component of a case where the light is input into the first end and using the second Stokes component and the second anti-Stokes component of a case where the light is input into the second end next time.
 11. The temperature measurement method as claimed in claim 9, wherein the first section is elongated as the first correlation becomes smaller and the second section is elongated as the second correlation becomes smaller.
 12. The temperature measurement method as claimed in claim 11, wherein an upper limit is set in the first section and the second section.
 13. The temperature measurement method as claimed in claim 9, wherein the second Stokes component is not smoothed when the first correlation is equal to or more than a threshold, and the second anti-Stokes component is not smoothed when the second correlation is equal to or more than another threshold.
 14. The temperature measurement method as claimed in claim 9, wherein a Pearson's product-moment correlation coefficient is used as the first correlation and the second correlation.
 15. The temperature measurement method as claimed in claim 9, wherein a Spearman's rank correlation coefficient is used as the first correlation and the second correlation.
 16. The temperature measurement method as claimed in claim 9, wherein: a partial region of the optical fiber around the sample point has a constant temperature; the predetermined region is larger than a half value width of temperature distribution obtained when another constant temperature different from the constant temperature is given to a minimum heated length section of which a center is the sample point; and the predetermined region is smaller than a primary component width of the temperature distribution.
 17. A computer-readable, non-transitory medium storing a program that causes a computer to execute a process, the process comprising: detecting a first Stokes component and a first anti-Stokes component from a back scattering light generated when a light is input into a first end of an optical fiber and detecting a second Stokes component and a second anti-Stokes component from a back scattering light generated when a light is input into a second end of the optical fiber; within a predetermined region including a sample point of a partial region on the first end side of the optical fiber, calculating a first section including the sample point on a basis of a first correlation between the second Stokes component and at least one of the first Stokes component and the first anti-Stokes component, calculating a second section including the sample point on a basis of a second correlation between the second anti-Stokes component and at least one of the first Stokes component and the first anti-Stokes component, smoothing the second Stokes component in the first section, and smoothing the second anti-Stokes component in the second section; and measuring a temperature at the sample point by using the second Stokes component smoothed by the corrector, the second anti-Stokes component smoothed by the corrector, the first Stokes component and the first anti-Stokes component.
 18. The medium as claimed in claim 17, wherein the first section and the second section are calculated by using the first Stokes component and the first anti-Stokes component of a case where the light is input into the first end and using the second Stokes component and the second anti-Stokes component of a case where the light is input into the second end next time.
 19. The medium as claimed in claim 17, wherein the first section is elongated as the first correlation becomes smaller and the second section is elongated as the second correlation becomes smaller.
 20. The medium as claimed in claim 19, wherein an upper limit is set in the first section and the second section. 